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What is the mass (g) of a piece of magnesium wire that produces 41. 8 ml of hydrogen gas collected over water at 21. 0 °c and at a pressure of 752 torr?

Sagot :

The mass (g) of a piece of magnesium wire that produces 41. 8 ml of hydrogen gas collected over water at 21. 0 °c and at a pressure of 752 torr is  0.041 gm.

Calculation,

According to ideal gas equation,

PV = nRT

Where, P is the pressure = 752 torr = 752 mmHg/760 mmHg/atm

P is the pressure in atm = 0.989atm

V is the volume = 41. 8 ml = 0.0418 L

R is the universal gas constant = 0.0821 Latm/mol K

T is the temperature =  21. 0 °C = 21. 0 + 273 = 294 K

n is the number of moles = ?

By putting value of P , V , T , and  R in equation (i) we get,

0.989atm × 0.0418 L = n ×0.0821 Latm/mol K ×294 K

n = 0.989atm × 0.0418 L/0.0821 Latm/mol K×294 K = 0.00171 mol

Number of moles (n) = given mass/ molar mass =  given mass/24.305

Mass = Number of moles×molar mass =  0.00171 mol×24.305 g/mol

Mass of the magnesium wire = 0.041 gm

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